Home > Research > Publications & Outputs > Scale Symmetry and Friction

Electronic data

  • HerglotzCouplings

    Accepted author manuscript, 368 KB, PDF document

    Available under license: CC BY: Creative Commons Attribution 4.0 International License

Links

Text available via DOI:

View graph of relations

Scale Symmetry and Friction

Research output: Contribution to journalJournal articlepeer-review

Published
Article number1639
<mark>Journal publication date</mark>6/09/2021
<mark>Journal</mark>Symmetry
Issue number9
Volume13
Publication StatusPublished
<mark>Original language</mark>English

Abstract

Dynamical similarities are non-standard symmetries found in a wide range of physical systems that identify solutions related by a change of scale. In this paper, we will show through a series of examples how this symmetry extends to the space of couplings, as measured through observations of a system. This can be exploited to focus on observations that can be used to distinguish between different theories and identify those which give rise to identical physical evolutions. These can be reduced into a description that makes no reference to scale. The resultant systems can be derived from Herglotz’s principle and generally exhibit friction. Here, we will demonstrate this through three example systems: the Kepler problem, the N-body system and Friedmann–Lemaître–Robertson–Walker cosmology.